10. A fish pond at a carnival contains 84 goldfish, 30 tetras, 17 angel fish, and...
Reconsider problem 1 but suppose that the sample is selected with replacement. A small pond contains 30 fish, 10 of which have been tagged. Suppose that a fisherman’s catches four fish by catching a fish, noting whether it is tagged, releasing it, and repeating until four fish have been caught. (Assume that these four fish form a random sample of size four selected with replacement.) Let X denote the number of tagged fish that are caught. a) What is the...
1. A fish pond is to be dug into a lawn so that it w hold 10 kL of water (note that 1 kL 1 m3). For æsthetic reasons, the pond is to be cylindrical in shape, with vertical sides. For practical reasons, the pond cannot be more than 1 m deep and must be at least 0.3 m deep (a) (i) Write an expression for the volume V of the pond in terms of its radius r and depth...
6. A box contains 30 red balls, 30 white balls, and 30 blue balls. If 10 balls are selected at random, without replace- ment, what is the probability that at least one color will be missing from the selection? 6. A box contains 30 red balls, 30 white balls, and 30 blue balls. If 10 balls are selected at random, without replace- ment, what is the probability that at least one color will be missing from the selection?
An urn contains 39 red, 17 white and 30 blue marbles. A child selects two marbles at random and without replacement from the urn. Find the probability that the colors of the selected marbles are different. Hint: Three cases occur in the selection: no red, no white, no blue.
1) A box contains 17 fuses. 6 of them are rated at 10 amperes (A) and the other 11 are rated at 15 A. Two fuses are selected at random. What is the probability that the second fuse is rated at 15 A, given that the first fuse is rated at 10 A?
Michael has a box of colored balls. It contains two red balls, two green balls, two yellow balls, and five blue balls. Michael draws a ball at random from the box Let R denote the event that the ball he draws is red, and let B denote the event that the ball he draws is blue. What is Pr(R|B)? What is Pr(R|B′)? Enter your answers as whole numbers or fractions in lowest terms. A bag contains four 1-dollar bills, three...
16. The FDA regulates that fresh Albacore tuna fish contains at most 0.82 ppm of mercury. A scientist at the FDA believes the mean amount of mercury in tuna fish for a new company exceeds the ppm of mercury. The hypotheses are Ho -0.82 Hi: u> 0.82. What is a type II error in the context of this problem? a) The fish is rejected by the FDA when in fact it had less than 0.82 ppm of mercury b) The...
A box contains 22 red marbles, 52 white marbles, and 10 blue marbles. If a marble is randomly selected from the box, what is the probability that it is red or blue? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
please answer fast and neat 2. (30 pts) A box contains 3 defective and 4 working bulbs. You choose 3 times 2 bulbs at random from the box without replacement. What is the probability that one defective and one working bulb are chosen each time?
Suppose an opaque jar contains 7 red marbles and 10 green marbles. The following exercise refers to the experiment of picking two marbles from the jar without replacing the first one. What is the probability of getting a green marble first and a red marble second? (Enter your probability as a fraction.) this problem is posted on your page, however, the answer is incorrect. Thank you!